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Finding the Third Proportional to 112,988 and 165,978

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Solution

The third proportional to 112,988 and 165,978 is: 243,819.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,988 : 165,978 = 165,978 : x
  2. Step 2: Convert to fraction form
    112,988/165,978 = 165,978/x
  3. Step 3: Cross multiply
    112,988x = 165,978 × 165,978
  4. Step 4: Simplify right side
    112,988x = 27,548,696,484
  5. Step 5: Solve for x
    x = 27,548,696,484/112,988
  6. Step 6: Final answer
    x = 243,819.67

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.